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Hey again @barteksiama... gonna try my hand at this one when I'm done with dinner, but first...

This is a link to an online chessboard with this position replicated. It doesn't help you solve it or anything, or even record the moves (that would be nice), but I think it is easier to work with something you can move around.

If you're interested @barteksiama, you could start making your pictures into links so everyone can just click it and go to a board like I just did now. Here's the code you could edit into your post if you so desired:

it is a lot of stale mates I noticed. But I am curious to figure out the checkmate.

good start how you gonna follow that?

I've got it! This was a tricky one. At first you're fooled by the lack of material. You're discouraged from allowing Black to take White's bishop, because you know that usually, a knight and a king are not enough material to finish the job. But we get to use Black's pawns to his disadvantage, and that's exactly what we do here...

1. Nc5  Kxg6
2. Nd7  Kh6
3. Ne5  g6
4. Nf7#

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